A333126 Numbers whose binary representation does not contain a square-subword of length 4 or more.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 17, 18, 19, 22, 23, 24, 25, 27, 28, 29, 34, 35, 38, 39, 44, 46, 49, 50, 51, 55, 56, 57, 59, 68, 70, 71, 76, 77, 78, 88, 89, 92, 93, 98, 99, 102, 103, 110, 113, 114, 115, 119, 140, 141, 142, 152, 156, 157, 177, 178

Offset

1,3

Comments

A square-(sub)word consists of two nonempty identical adjacent subwords.

This sequence is finite, the last term being a(239) = 183858 with binary representation "101100111000110010".

Links

Rémy Sigrist, Table of n, a(n) for n = 1..239

Rémy Sigrist, PARI program for A333126

Eric Weisstein's World of Mathematics, Squarefree Word

Index entries for sequences related to binary expansion of n

Prog

(PARI) See Links section.

Crossrefs

Cf. A333124.

Sequence in context: A336547 A371455 A325097 * A330697 A030700 A305933

Adjacent sequences: A333123 A333124 A333125 * A333127 A333128 A333129

Keyword

nonn,base,fini,full

Author

Rémy Sigrist, Mar 08 2020

Status

approved